Recursive Hilbert-Huang Transform Method for Time-Varying Property Identification of Linear Shear-Type Buildings under Base Excitations
Publication: Journal of Engineering Mechanics
Volume 138, Issue 6
Abstract
This paper presents a recursive Hilbert-Huang transform method for the time-varying property identification of shear-type buildings under base excitations. To overcome nonorthogonality and modal perturbation issues, all significant intrinsic mode functions of each signal and their Hilbert transforms were summed to track any variation of structural parameters of a multistory building over time. Given floor masses, both the stiffness and damping coefficients of the building were identified one by one from the top to bottom story. The overall accuracy of the identified parameters was measured by an index of accuracy based on the weighted root-mean-squared evaluation proposed in this study. One- and two-story shear buildings with abruptly, gradually, and periodically varying parameters were used as examples. The numerical results indicated that the proposed method is efficient, robust, and accurate in tracking variations of the properties of multistory buildings. Finally, the proposed method was applied into the identification of the time-varying natural frequency of a real-world high-voltage switch structure due to the friction mechanism used in the switch. The range of the identified frequency by the proposed method was in good agreement with that attained by the conventional least-squares method.
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Acknowledgments
Financial support to complete this study was provided in part by the China Scholarship Council, Award No. NSCIS-[2007]3020 and by Ameren Corporation, St. Louis, MO. Thanks are due to Seth McConnell for his effort to coordinate the shake table tests of high-voltage switches.
References
Bao, C., Hao, H., Li, Z. X., and Zhu, X. (2009). “Time-varying system identification using a newly improved HHT algorithm.” Comput. Struct.CMSTCJ, 87(23-24), 1611–1623.
Chen, G. D., Yan, D. M., Wang, Z. C., McConnell, S. J., Karim, K. R., and Rogers, D. (2009). “Structural assessment of highway “N” power substation under earthquake loads.” CIES Report No. 09-001, Center for Infrastructure Engineering Studies, Rolla, MO.
Feldman, M. (1994a). “Non-linear system vibration analysis using Hilbert transform—I: Free vibration analysis method FREEVIB.” Mech. Syst. Signal Process., 8(2), 119–127.
Feldman, M. (1994b). “Non-linear system vibration analysis using Hilbert transform—II: Forced vibration analysis method FOR CEVIB.” Mech. Syst. Signal Process., 8(3), 309–318.
Ghanem, R., and Romeo, F. (2000). “A wavelet based approach for the identification of linear time-varying systems.” J. Sound Vib.JSVIAG, 234(4), 555–576.
Hahn, S. L. (1996). Hilbert transform in signal processing, Artech House, Norwood, MA.
Huang, T. L., and Lou, M. L. (2006). “System identification of nonlinear structures based on HHT.” Earthquake Eng. Eng. Vib., 26(3), 347–362.
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., and Shih, H. H. (1998). “The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis.” Proc. R. Soc. London, Ser. APRLAAZ, 454(1971), 903–995.
Jategaonkar, R. V. (2006). Flight vehicle system identification: A time domain methodology, American Institute of Aeronautics and Astronautics, Reston, VA.
Lin, J. W., Betti, R., Smyth, A. W., and Longman, R. W. (2001). “On-line identification of non-linear hysteretic structure systems using a variable trace approach.” Earthquake Eng. Struct. Dyn.IJEEBG, 30(9), 1279–1303.
Shi, Z. Y., and Law, S. S. (2007). “Identification of linear time-varying dynamical system using Hilbert transform and EMD method.” J. Appl. Mech.JAMCAV, 74(2), 223–230.
Shi, Z. Y., Law, S. S., and Xu, X. (2009). “Identification of linear time-varying MDOF dynamic systems from forced vibration using Hilbert transform and EMD method.” J. Sound Vib.JSVIAG, 321(3-5), 572–589.
Smyth, A. W., Masri, S. F., Chaassiakos, A. G., and Caughey, T. K. (1999). “On-line parametric identification of MODF nonlinear hysteretic systems.” J. Eng. Mech.JENMDT, 125(2), 133–142.
Smyth, A. W., Masri, S. F., Kosmatopoulos, E. B., Chaassiakos, A. G., and Caughey, T. K. (2002). “Development of adaptive modeling techniques for non-linear hysteretic system.” Int. J. Non-linear Mech.IJNMAG, 37(8), 1435–1451.
Wang, C., and Ren, W. X. (2007). “A wavelet ridge and SVD-based approach for instantaneous frequency identification of structure.” Proc., 2nd Int. Conf. on Struct. Condition Assessment, Monitoring and Improvement, Changsha, China, 803–807.
Wang, C., and Ren, W. X. (2008). “Identification of instantaneous frequencies of time-varying structures based on wavelet ridges.” Proc., 10th Int. Sym. on Struct. Eng. for Young Experts, Changsha, China, 1585–1589.
Xu, Y. S., and Yan, D. Y. (2006). “The Bedrosian identity for the Hilbert transform of product functions.” Proc., American Mathematical Society, 134, 2719–2728.
Yang, J. N., and Lei, Y. (1999). “Identification of natural frequencies and damping ratios of linear structures via Hilbert transform and empirical mode decomposition.” Proc., IASTED Int. Conf. on Intelligent Systems and Control, IASTED/Acta Press, Anaheim, CA, 310–315.
Yang, J. N., Lei, Y., and Huang, N. (2004). “Identification of natural frequencies and damping of in situ tall buildings using ambient wind vibration data.” J. Eng. Mech.JENMDT, 130(5), 570–577.
Yang, J. N., and Lin, S. (2005). “Identification of parametric variations of structures based on least squares estimation and adaptive tracking technique.” J. Eng. Mech.JENMDT, 131(3), 290–298.
Yang, J. N., Lei, Y., Lin, S., and Huang, N. (2003). “System identification of linear structures based on Hilbert-Huang spectral analysis, Part I: Normal modes.” Earthquake Eng. Struct. Dyn.IJEEBG, 32(9), 1443–1467.
Zhao, H. P., and Bentsman, J. (2001). “Biorthogonal wavelet based identification of fast linear time-varying systems—Part I: System representations.” J. Dyn. Syst., Meas., ControlJDSMAA, 123(4), 585–592.
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 6 • June 2012
Pages: 631 - 639
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Sep 27, 2010
Accepted: Nov 21, 2011
Published online: Nov 23, 2011
Published in print: Jun 1, 2012
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